I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this topic and I need help like ASAP!
You can find the roots of a quadratic equation by determining the zeros of the quadratic function or the ?
You can find the roots of a quadratic equation by determining the x-intercepts of the graph or the ?
there is no other way. The roots are the zeroes are the x-intercepts.
The quadratic formula always works. Use it when in trouble.
Or, try and factor the polynomial
x^2+8x+15 = 0
(x+3)(x+5) = 0
the roots are -3 and -5
Surely your algebra book covers the topic in several places.
To find the roots of a quadratic equation, you have a few different methods you can use. One common method is to use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the roots can be found using the formula:
x = (-b ± √(b^2 - 4ac))/(2a)
In this formula, "a", "b", and "c" are the coefficients of the quadratic equation. The ± symbol indicates that there are two possible solutions, one with the plus sign and one with the minus sign. This accounts for the fact that a quadratic equation can have two distinct roots.
To use the quadratic formula, you simply plug in the values of the coefficients "a", "b", and "c" into the equation, and then solve for the two possible values of "x". The square root symbol (√) means to take the positive square root of the quantity inside the parentheses.
Once you have the two values of "x" from the quadratic formula, these are the roots of the quadratic equation. These are the points where the graph of the quadratic equation intersects the x-axis, also known as the x-intercepts or zeros of the equation.
It's important to note that if the quantity inside the square root (b^2 - 4ac) is negative, then the quadratic equation has no real roots. In this case, the graph of the equation will not intersect the x-axis at any point.